Question

From a solution containing milk and water in the ratio 3 : 4, 10 l is removed andreplaced by water. If the resultant solution contains milk and water in the ratio 1 : 2then what was the amount of the original solution ?From a solution containing milk and water in the ratio 3 : 4, 10 l is removed andreplaced by water. If the resultant solution contains milk and water in the ratio 1 : 2then what was the amount of the original solution ?

Answer 1

Old ratio = 3x : 4x

After replacement,

New ratio =
1 : 2 = 3x - 10 : 4x +10
1/ 2 = 3x - 10 / 4x + 10
1(4x + 10) = (3x-10)2
4x +10 = 6x - 20
2x = 30
x = 15


Substituting back in old ratio
3(15) : 4(15)
45 : 60